试题

题目:
计算:
(1)-9×(-11)-96÷(-8);
(2)7-(
3
8
+
1
6
-
3
4
)×24

(3)-22×7-(-3)×6+|-10|÷2;
(4)-1100-(
1
6
-
2
5
)÷1
3
4
×[(-7)2-(-11)]

答案
解:(1)原式=99+12
=111;

(2)原式=7-(
3
8
×24+
1
6
×24-
3
4
×24)
=7-(9+4-18)
=7-(-5)
=7+5
=12;

(3)原式=-4×7-(-18)+10÷2
=-28+18+54
=-5;

(4)原式=-1-(-
7
30
)×
4
7
×[49+11]
=-1+
7
30
×
4
7
×60
=1+8
=9.
解:(1)原式=99+12
=111;

(2)原式=7-(
3
8
×24+
1
6
×24-
3
4
×24)
=7-(9+4-18)
=7-(-5)
=7+5
=12;

(3)原式=-4×7-(-18)+10÷2
=-28+18+54
=-5;

(4)原式=-1-(-
7
30
)×
4
7
×[49+11]
=-1+
7
30
×
4
7
×60
=1+8
=9.
考点梳理
有理数的混合运算.
(1)先算乘除,再算减法;
(2)先用乘法分配律简算,再算加减;
(3)(4)先算乘方,再算乘除,最后算加减.
此题考查有理数的混合运算,抓住运算顺序,正确按运算顺序计算,注意计算结果的符号.
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